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Finding the Fourth Proportional to 994.12, 1,491.98 and 446.36

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Solution

The fourth proportional to 994.12, 1,491.98 and 446.36 is: 669.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.12 : 1,491.98 = 446.36 : x
  2. Step 2: Convert to fraction form
    994.12/1,491.98 = 446.36/x
  3. Step 3: Cross multiply
    994.12x = 1,491.98 × 446.36
  4. Step 4: Simplify right side
    994.12x = 665,960.19
  5. Step 5: Solve for x
    x = 665,960.19/994.12
  6. Step 6: Final answer
    x = 669.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.